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Q#1
Random Variable and Random Process
GATE EC 2014
MCQ
+2 marks
-0.66 marks
Consider a communication scheme where the binary valued signal X satisfies 
and 
. The received signal Y = X + Z, where Z is a Gaussian random variable with zero mean and variance 
. The received signal Y is fed to the threshold detector. The output of the threshold detector X is:
.
To achieve a minimum probability of error 
, the threshold τ should be
Strictly positive
Zero
Strictly negative
Strictly positive, zero, or strictly negative depending on the nonzero value of
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